Symmetric solutions for a 2D critical Dirac equation
Analysis of PDEs
2021-02-09 v3 Mathematical Physics
math.MP
Abstract
In this paper we show the existence of infinitely many symmetric solutions for a cubic Dirac equation in two dimensions, which appears as effective model in systems related to honeycomb structures. Such equation is critical for the Sobolev embedding and solutions are found by variational methods. Moreover, we prove also prove smoothness and exponential decay at infinity.
Cite
@article{arxiv.2010.04630,
title = {Symmetric solutions for a 2D critical Dirac equation},
author = {William Borrelli},
journal= {arXiv preprint arXiv:2010.04630},
year = {2021}
}
Comments
To appear on Commun. Contemp. Math